Question

A randomly generated password contains four characters. Each of the four characters is either a lowercase letter or a digit from 0–9. Each character in the password cannot be used more than once.
What is the approximate probability that exactly one of the four characters will be a number?

Answer 1

Answer: 2/561

Step-by-step explanation:

You have 36 possibilities for the first one

you have 35 possibilities for the second one

you have 34 possibilities for the third one

you have 33 possibilities for the last one

$\frac{36!}{32!}$

36*35*34*33

10*9*8*7= 5040